The first term of an arithmetic sequence is -4. the 8th term is 10. what is the common difference?

  2

Step-by-step explanation:

The general term of an arithmetic sequence is given by the explicit formula ...

  an = a1 +d(n -1)

The first term is a1 = -4, and the 8th term is a8 = 10. Using these numbers in the formula, we find ...

  a8 = a1 +d(8 -1) . . . . put n=8 into the formula

  10 = -4 + 7d . . . . . . . fill in the other known values

  14 = 7d . . . . . . . . . . . add 4

  2 = d  . . . . . . . . . . . . . divide by 7

The common difference is 2.

You may have noticed that the difference between the first and eighth terms is 8-1 = 7 times the common difference. And, our solution is ...

  d = (10 -(-4))/7 = 2

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

question: match the eqaution with its graph -8x - 5y = 40

answer: 8 x 5 = 40

x= absiss

y= orderly

so you have a proportional graph

question answered by

(jacemorris04)